Math is the application of abstract concepts, such as numbers, to understand and explain the world around us.
A number is the idea of a count or measurement.
A numeral is how the number is portrayed.
A digit is a single symbol used to make a numeral. 0-9 are digits.
Counting is the act of assigning numbers in a sequence to objects to determine a set amount.
If you wanted to pull 5 apples from a bunch you would pull 1 by 1, assigning the numbers in order 1, 2, 3, 4, 5
Counting is the first mathematical concept you learn. It provides you understanding of where numbers fall in sequence. It serves as an introduction to applying an abstract concept to the concrete.